501122160 has 640 divisors, whose sum is σ = 2262712320. Its totient is φ = 98841600.

The previous prime is 501122123. The next prime is 501122173. The reversal of 501122160 is 61221105.

501122160 is a `hidden beast` number, since 501 + 1 + 2 + 2 + 160 = 666.

It is a super-2 number, since 2×501122160² = 502246838486131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3825295 + ... + 3825425.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^501122160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131356160).

501122160 is an abundant number, since it is smaller than the sum of its proper divisors (1761590160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

501122160 is a wasteful number, since it uses less digits than its factorization.

501122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 501122160 is about 22385.7579724252. The cubic root of 501122160 is about 794.2938549867.

Adding to 501122160 its reverse (61221105), we get a palindrome (562343265).

The spelling of 501122160 in words is "five hundred one million, one hundred twenty-two thousand, one hundred sixty".